Question

two balls of different masses are thrown vertically upward with same initial velocity .calculate the ratio of ratio of maximum height attained by them

Answer 1

$$H = \frac {g t ^ {2}}{2}$$ $$\boldsymbol {v} = \boldsymbol {g} \boldsymbol {t}, \boldsymbol {t} = \frac {\boldsymbol {v}}{\boldsymbol {g}};$$ $$H = \frac {g \frac {v ^ {2}}{2}}{2} = \frac {v ^ {2}}{2 g}$$

As acceleration of free falling does not depend on weight, balls will rise on equal altitude:

$$H 1 = H 2, \quad \text{ratio} = \frac {H 1}{H 2} = 1$$

Answer:

Ratio = 1.